Quiver Yangians and Crystal Melting: A Concise Summary

Abstract

The goal of this short article is to summarize some of the recent developments in the quiver Yangians and crystal meltings. This article is based on a lecture delivered by the author at International Congress on Mathematical Physics (ICMP), Geneva, 2021.

v2: typos corrected; 8 pages, 7 figures, lecture at ICMP 2021

References in corpus (8)

• Brane Tilings
• Brane Tilings and Their Applications
• Crystal Melting and Toric Calabi-Yau Manifolds
• Wall crossing in local Calabi Yau manifolds
• Wall Crossing of BPS States on the Conifold from Seiberg Duality and Pyramid Partitions
• Lorentz Invariance Violation and Chemical Composition of Ultra High Energy Cosmic Rays
• Shifted Quiver Yangians and Representations from BPS Crystals
• Crystal Melting and Wall Crossing Phenomena

Cited by in corpus (11)

• Gauge/Bethe correspondence from quiver BPS algebras
• Super-Schur Polynomials for Affine Super Yangian $\mathsf{Y}({\widehat{\mathfrak{gl}}}_{1|1})$
• A Note on Quiver Yangians and $\mathcal{R}$-Matrices
• The Origin of Calabi-Yau Crystals in BPS States Counting
• BPS States Meet Generalized Cohomology
• More on Affine Dynkin Quiver Yangians
• Crystals and Double Quiver Algebras from Jeffrey-Kirwan Residues
• Towards the theory of Yangians
• Supersymmetric polynomials and algebro-combinatorial duality
• An Overview of Crystals and Double Quiver Yangians
• Weyl Mutations in Quiver Yangians